中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：陈 丽 教授 (德国曼海姆大学)
题 目：Note on the Relative Entropy Method for Moderately Interacting Particle System on the Whole Space
时 间：2023. 08. 02（星期三) 10:00-11:00
地 点：数学院南楼N933
摘 要：I will present a recent work on combining the relative entropy method by Jabin and Wang and the regularized $L^2$ -estimate by Oeschläger to give a rigorous derivation of viscous porous medium equation from moderately interacting particle system in the sense of strong $L^1$ norm. The key step is to obtain a well-posedness result for the corresponding nonlocal PDE. This is a joint work with A. Holzinger and X. Huo.